Chang, N; Chipot, M (2003). On some model diffusion problems with a nonlocal lower order term. Chinese Annals of Mathematics. Series B, 24(2):147-166.

Abstract

The authors consider a class of nonlinear parabolic problems where the lower order term is depending on a weighted integral of the solution, and address the issues of existence, uniqueness, stationary solutions and in some cases asymptotic behaviour.